# Extensions 1→N→G→Q→1 with N=C22×C14 and Q=S3

Direct product G=N×Q with N=C22×C14 and Q=S3
dρLabelID
S3×C22×C14168S3xC2^2xC14336,226

Semidirect products G=N:Q with N=C22×C14 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C22×C14)⋊1S3 = C14×S4φ: S3/C1S3 ⊆ Aut C22×C14423(C2^2xC14):1S3336,214
(C22×C14)⋊2S3 = C2×C7⋊S4φ: S3/C1S3 ⊆ Aut C22×C14426+(C2^2xC14):2S3336,215
(C22×C14)⋊3S3 = C14×C3⋊D4φ: S3/C3C2 ⊆ Aut C22×C14168(C2^2xC14):3S3336,193
(C22×C14)⋊4S3 = C2×C217D4φ: S3/C3C2 ⊆ Aut C22×C14168(C2^2xC14):4S3336,203
(C22×C14)⋊5S3 = C23×D21φ: S3/C3C2 ⊆ Aut C22×C14168(C2^2xC14):5S3336,227

Non-split extensions G=N.Q with N=C22×C14 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C22×C14).1S3 = C7×A4⋊C4φ: S3/C1S3 ⊆ Aut C22×C14843(C2^2xC14).1S3336,117
(C22×C14).2S3 = A4⋊Dic7φ: S3/C1S3 ⊆ Aut C22×C14846-(C2^2xC14).2S3336,120
(C22×C14).3S3 = C7×C6.D4φ: S3/C3C2 ⊆ Aut C22×C14168(C2^2xC14).3S3336,89
(C22×C14).4S3 = C42.38D4φ: S3/C3C2 ⊆ Aut C22×C14168(C2^2xC14).4S3336,105
(C22×C14).5S3 = C22×Dic21φ: S3/C3C2 ⊆ Aut C22×C14336(C2^2xC14).5S3336,202
(C22×C14).6S3 = Dic3×C2×C14central extension (φ=1)336(C2^2xC14).6S3336,192

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